The table below shows the corresponding values of two variables X and Y.
X
33
31
28
25
23
22
19
17
16
14
Y
4
6
4
10
12
10
14
15
18
22
(a) Plot a scatter diagram to represent the data. (b) Calculate \(\bar{x}\), the mean of X and \(\bar{y}\), the mean of Y. (c) Draw the line of best fit to pass through \((\bar{x}, \bar{y})\). (d) From your graph in (c), determine the (i) relationship between X and Y ; (ii) value of Y when X is 24.